8113521600 has 336 divisors, whose sum is σ = 29724035040. Its totient is φ = 2152857600.

The previous prime is 8113521587. The next prime is 8113521623. The reversal of 8113521600 is 61253118.

8113521600 is a `hidden beast` number, since 8 + 1 + 1 + 3 + 52 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12657280 + ... + 12657920.

It is an arithmetic number, because the mean of its divisors is an integer number (88464390).

Almost surely, 2^8113521600 is an apocalyptic number.

8113521600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8113521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14862017520).

8113521600 is an abundant number, since it is smaller than the sum of its proper divisors (21610513440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8113521600 is a wasteful number, since it uses less digits than its factorization.

8113521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8113521600 is about 90075.0886760596. The cubic root of 8113521600 is about 2009.4157357301.

Adding to 8113521600 its reverse (61253118), we get a palindrome (8174774718).

The spelling of 8113521600 in words is "eight billion, one hundred thirteen million, five hundred twenty-one thousand, six hundred".